Complexity of the normalization of algebras |
| |
Authors: | Thuy Pham Wolmer V. Vasconcelos |
| |
Affiliation: | (1) Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA;(2) Department of Mathematics, University of Toronto, Toronto, Ontario, Canada, M5S 2E4 |
| |
Abstract: | We introduce and develop new techniques to study the complexity of normalization processes of graded algebras. The construction of a new degree function on graded modules, with a global nature, permits a broad extension of recent bounds for the length of the chains of subalgebras that general algorithms must transverse to build the integral closure, particularly of blowup algebras. It achieves this by relating the values of the new degree with invariants of the algebra known ab initio. As a by-product, it reveals new inequalities among Hilbert coefficients. The second author was partially supported by the NSF. |
| |
Keywords: | Primary 13A30 13B21 13D40 Secondary 13H10 13H15 |
本文献已被 SpringerLink 等数据库收录! |
|